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2493004320 = 253251731253
BaseRepresentation
bin1001010010011000…
…0011101000100000
320102202000202000100
42110212003220200
520101202114240
61051213422400
7115531121112
oct22446035040
96382022010
102493004320
11106a266054
12596a9aa00
133096501b1
1419914d3b2
15e8ce7e30
hex94983a20

2493004320 has 72 divisors (see below), whose sum is σ = 8507382156. Its totient is φ = 664800768.

The previous prime is 2493004289. The next prime is 2493004331. The reversal of 2493004320 is 234003942.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2476455696 + 16548624 = 49764^2 + 4068^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 864187 + ... + 867066.

Almost surely, 22493004320 is an apocalyptic number.

2493004320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2493004320 is an abundant number, since it is smaller than the sum of its proper divisors (6014377836).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2493004320 is a wasteful number, since it uses less digits than its factorization.

2493004320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1731274 (or 1731263 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 2493004320 is about 49929.9941918683. The cubic root of 2493004320 is about 1355.9416791687.

The spelling of 2493004320 in words is "two billion, four hundred ninety-three million, four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 1731253 3462506 5193759 6925012 8656265 10387518 13850024 15581277 17312530 20775036 25968795 27700048 31162554 34625060 41550072 51937590 55400096 62325108 69250120 77906385 83100144 103875180 124650216 138500240 155812770 166200288 207750360 249300432 277000480 311625540 415500720 498600864 623251080 831001440 1246502160 2493004320